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Is there any complex number whose additive and multiplicative inverses are equal?
SobiaKaleem
Sure. Just write the corresponding solution:
"multiplicative inverse of x" = "additive inverse of x"
1/x = -x
If you solve this, you get two solutions.
Wiki User
∙ 11y ago
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What are the elements in rational numbers having multiplicative inverse?
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
Which number is known as the additive identity which number is the multiplicative identity?
Additive identity: zero. Multiplicative identity: one.
An integer and its opposite are?
equidistant from zero on a standard number line
How are a number and its opposite represented on a number line?
The answer will depend on what you mean by "opposite": the additive inverse or the multiplicative inverse.
Does the number zero have an opposite number?
Zero does not have an opposite * * * * * While it is true that zero has no multiplicative opposite (or inverse), it certainly has an additive inverse, and that is also zero, since 0 + 0 = 0
What are oppposites in math?
Opposites in math are called inverses. There are two of these inverses: an additive and a multiplicative. The additive inverse of a number is that number multiplied by -1. If this is added to the number, then the result will be 0. The multiplicative inverse of a number is its reciprocal. This is the number converted into a fraction then flipped. If you multiply a number with its multiplicative inverse, the result will be 1.
What are the additive and multiplicative inverses of 5.42?
The additive inverse of a number a is the number -a because a + (-a) = 0. For 5.42, the additive inverse is -5.42 because 5.42 + (-5.42) = 0. The multiplicative inverse of a number a is the number 1/a because a(1/a) = 1. For 5.42, the multiplicative inverse is 1/5.42 = 0.1845.
Is the opposite of each whole number is a whole number?
The answer depends on the context for opposition: the additive inverses are whole numbers but the multiplicative inverses are not (except in the case of -1 and +1).
What do you call a negative and a positive number that is the same distance away from zero?
A pair of additive inverses. If the word "additive" is not used, there is no way of differentiating from multiplicative inverses: x and 1/x which multiply to 1.
What are the elements in rational numbers having multiplicative inverse?
All rational numbers, with the exception of zero (0), have a multiplicative inverse. In fact, all real numbers (again, except for zero) have multiplicative inverses, though the inverses of irrational numbers are themselves irrational. Even imaginary numbers have multiplicative inverses (the multiplicative inverse of 5i is -0.2i - as you can see the inverse itself is also imaginary). Even complex numbers (the sum of an imaginary number and a real number) have multiplicative inverses (the inverse of [5i + 2] is [-5i/29 + 2/29] - similar to irrational and imaginary numbers, the inverse of a complex number is itself complex). The onlynumber, in any set of numbers, that does not have a multiplicative inverse is zero.
Which number is known as the additive identity which number is the multiplicative identity?
Additive identity: zero. Multiplicative identity: one.
Is the opposite of a negative number is positive?
The additive opposite is, but not the multiplicative opposite.The additive opposite is, but not the multiplicative opposite.The additive opposite is, but not the multiplicative opposite.The additive opposite is, but not the multiplicative opposite.
What is two number that are an equal distance from zero on the number line?
Additive inverses or additive opposites.
Opposite. The additive inverse of a number is the opposite sign of that number are called?
They are called the additive inverses!
What does the word inversely mean in math?
There are two main types of inverses. Additive inverses total zero. Any number and its negative are inverses. 3 and -3 are inverses. Multiplicative inverses total 1. 3/4 and 4/3 are inverses. 3/4 x 4/3 = 12/12 = 1 Most often, the word inversely in math means upside down.
Name the additive inverse and the multiplicative inverse for the number 2.5?
Additive inverse: -2.5 Multiplicative inverse: 0.4
What are 2 integers the same distance from 0 on a number line but on opposite sides?
They are additive inverses of each other. They are often called opposites, but that is not good practise. You can have multiplicative inverses (1/2 and 2 because they multiply to 1), and will you call them opposites also?
